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200222034012 = 2232711135556167
BaseRepresentation
bin1011101001111000101…
…0011100100001011100
3201010210211002011220100
42322132022130201130
511240023320042022
6231551501021100
720315455131330
oct2723612344134
9633724064810
10200222034012
1177a06133690
1232979b54790
1315b5b31c650
14999579b7c0
15531cbd21ac
hex2e9e29c85c

200222034012 has 144 divisors (see below), whose sum is σ = 679541571072. Its totient is φ = 48005274240.

The previous prime is 200222034007. The next prime is 200222034013. The reversal of 200222034012 is 210430222002.

200222034012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002220340122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200222034013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2742048 + ... + 2814119.

It is an arithmetic number, because the mean of its divisors is an integer number (4719038688).

Almost surely, 2200222034012 is an apocalyptic number.

200222034012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200222034012 is an abundant number, since it is smaller than the sum of its proper divisors (479319537060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200222034012 is a wasteful number, since it uses less digits than its factorization.

200222034012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556208 (or 5556203 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 200222034012 its reverse (210430222002), we get a palindrome (410652256014).

The spelling of 200222034012 in words is "two hundred billion, two hundred twenty-two million, thirty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 5556167 11112334 16668501 22224668 33337002 38893169 50005503 61117837 66674004 72230171 77786338 100011006 116679507 122235674 144460342 155572676 183353511 200022012 216690513 233359014 244471348 288920684 350038521 366707022 427824859 433381026 466718028 505611197 550060533 650071539 700077042 733414044 794531881 855649718 866762052 1011222394 1100121066 1283474577 1300143078 1400154084 1516833591 1589063762 1711299436 2022444788 2200242132 2383595643 2566949154 2600286156 3033667182 3178127524 3850423731 4550500773 4767191286 5133898308 5561723167 6067334364 7150786929 7700847462 9101001546 9534382572 11123446334 14301573858 15401694924 16685169501 18202003092 22246892668 28603147716 33370339002 50055508503 66740678004 100111017006 200222034012